Jost Functions in Quantum Mechanics: A Unified Approach to Scattering, Bound, and Resonant State Problems

Author:   Sergei A. Rakityansky
Publisher:   Springer International Publishing AG
Edition:   1st ed. 2022
ISBN:  

9783031077609


Pages:   641
Publication Date:   22 October 2022
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Jost Functions in Quantum Mechanics: A Unified Approach to Scattering, Bound, and Resonant State Problems


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Author:   Sergei A. Rakityansky
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   1st ed. 2022
Weight:   1.142kg
ISBN:  

9783031077609


ISBN 10:   3031077601
Pages:   641
Publication Date:   22 October 2022
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Chapter 1: The Basic Concepts.- Part I: Single-Channel Problems.- Chapter 2: Schr¨Odinger Equation and its Solutions.- Chapter 3: Riemann Surface and the Spectral Points.- Chapter 4: Scattering States and the S-Matrix.- Chapter 5: Complex Angular Momentum.- Chapter 6: Green’s Functions.- Chapter 7: Short-Range Potential Extending to Infinity.- Chapter 8: Single-Channel Potential with Coulombic Tail.- Part II: Multi-Channel Problems.- Chapter 9: Non-Central Potential.- Chapter 10: Systems with Non-Zero Spin.- Chapter 11: Multi-Channel Schr Odinger Equation.- Chapter 12: Multi-Channel Jost Matrix.- Chapter 13: Riemann Surfaces for Multi-Channel Systems.- Chapter 14: Multi-Channel Problems of Charged Particles.- Chapter 15: Effective-Range Expansion and its Generalizations.- Part III: Special Issues.- Chapter 16: Singular and Low-Dimensional Potentials.- Chapter 17: Miscellaneous Extensions of the Jost Function Approach.- Chapter 18: Some Exactly Solvable Potential Models.- Appendices.- References and Index.

Reviews

“This book has to be recommended to graduate students and to young researchers as well who want to enter the difficult field of modern scattering theory.” (Giorgio Cattapan, Mathematical Reviews, July, 2023)


Author Information

Sergei Anatoljevich Rakityansky was born in Omsk in 1956. From 1973 to 1978, he studied physics in Tashkent University (USSR). After that, during 19 years (1978 -1997), he worked at the Joint Institute for Nuclear Research (Dubna, Russia). In 1997 he emigrated to South Africa where worked at the University of South Africa (UNISA, Pretoria). Since 2009, he is Professor of Physics at the University of Pretoria. His research focusses on scattering theory, theory of quantum resonances, and on nuclear reactions. On such topics he authored more than 60 scientific papers in peer-reviewed journals.

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